Certain hyperbolic equations with continuous distributed deviating arguments are studied, and sufficient conditions are obtained for every solution of some boundary value problems to be oscillatory in a cylindrical domain. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for functional differential inequalities by using some integral means of solutions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-1-4,
author = {Satoshi Tanaka and Norio Yoshida},
title = {Forced oscillation of certain hyperbolic equations with continuous distributed deviating arguments},
journal = {Annales Polonici Mathematici},
volume = {85},
year = {2005},
pages = {37-54},
zbl = {1083.35128},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-1-4}
}
Satoshi Tanaka; Norio Yoshida. Forced oscillation of certain hyperbolic equations with continuous distributed deviating arguments. Annales Polonici Mathematici, Tome 85 (2005) pp. 37-54. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-1-4/